| 关于S-拟正规嵌入子群 |
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| 引用本文： | 李长稳,易小兰.关于S-拟正规嵌入子群[J].佛山科学技术学院学报(自然科学版),2012,30(3):19-22. |
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| 作者姓名： | 李长稳 易小兰 |
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| 作者单位： | 1. 江苏师范大学数学科学学院,江苏徐州,221116
2. 浙江理工大学理学院,浙江杭州,310018 |
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| 基金项目： | 国家自然科学基金资助项目，江苏省高校自然科学基金资助项目 |
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| 摘 要： | 设H是有限群G的一个子群。称H在G中S-拟正规嵌入的,如果对于H的每个素因子p,H的Sylowp-子群也是G的某个S-拟正规子群的Sylowp-子群。利用S-拟正规嵌入子群研究有限群的结构,推广了前人的一些结果。
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| 关 键 词： | S-拟正规嵌入 p-超可解 p-幂零 |
On the S-quasinormally embedded subgroups |
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| LI Chang-wen,YI Xiao-lan.On the S-quasinormally embedded subgroups[J].Journal of Foshan University(Natural Science Edition),2012,30(3):19-22. |
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| Authors: | LI Chang-wen YI Xiao-lan |
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| Institution: | 1.School of Mathematical Science,Jiangsu Normal University,Xuzhou 221116,China;2.School of Science,Zhejiang University of Technology,Hangzhou 310018,China) |
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| Abstract: | Suppose G is a finite group and H is a subgroup of G.H is said to be S-quasinormally embedded in G if for each prime p dividing |H|,a Sylow p-subgroup of H is also a Sylow p-subgroup of some S-quasinormal subgroup of G.We investigate the influence of S-quasinormally embedded subgroups on the structure of finite groups.Some recent results are generalized. |
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| Keywords: | S-quasinormally embedded p-nilpotent p-supersolvable |
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